Base | Representation |
---|---|
bin | 1010000000010100000101… |
… | …11111101001001111101000 |
3 | 2212220021110221000111122212 |
4 | 11000022002333221033220 |
5 | 10340431042133242300 |
6 | 114443043521504252 |
7 | 4430343535132361 |
oct | 500120277511750 |
9 | 85807427014585 |
10 | 22001020212200 |
11 | 70126423873a7 |
12 | 2573b411a2088 |
13 | c378c2011163 |
14 | 560bd83dab68 |
15 | 28246c6d8935 |
hex | 140282fe93e8 |
22001020212200 has 96 divisors (see below), whose sum is σ = 51361902073560. Its totient is φ = 8764410470400.
The previous prime is 22001020212131. The next prime is 22001020212221. The reversal of 22001020212200 is 221202010022.
It can be written as a sum of positive squares in 12 ways, for example, as 7121223147844 + 14879797064356 = 2668562^2 + 3857434^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69766880 + ... + 70081520.
Almost surely, 222001020212200 is an apocalyptic number.
22001020212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22001020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680951036780).
22001020212200 is an abundant number, since it is smaller than the sum of its proper divisors (29360881861360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001020212200 is a wasteful number, since it uses less digits than its factorization.
22001020212200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 316087 (or 316078 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 22001020212200 its reverse (221202010022), we get a palindrome (22222222222222).
The spelling of 22001020212200 in words is "twenty-two trillion, one billion, twenty million, two hundred twelve thousand, two hundred".
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